Search a number
-
+
299999985333341 is a prime number
BaseRepresentation
bin100010000110110010011000…
…0100011101111010001011101
31110100012201101210100102222112
41010031210300203233101131
5303310144432221131331
62542014031325523405
7120122166206013116
oct10415446043572135
91410181353312875
10299999985333341
1187653308812217
1229792010113565
13cb51b5336b117
1454121108d920d
1524a3a4c41332b
hex110d9308ef45d

299999985333341 has 2 divisors, whose sum is σ = 299999985333342. Its totient is φ = 299999985333340.

The previous prime is 299999985333241. The next prime is 299999985333343. The reversal of 299999985333341 is 143333589999992.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255418858185241 + 44581127148100 = 15981829^2 + 6676910^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-299999985333341 is a prime.

It is a super-3 number, since 3×2999999853333413 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 299999985333343, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (299999985333343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 149999992666670 + 149999992666671.

It is an arithmetic number, because the mean of its divisors is an integer number (149999992666671).

Almost surely, 2299999985333341 is an apocalyptic number.

It is an amenable number.

299999985333341 is a deficient number, since it is larger than the sum of its proper divisors (1).

299999985333341 is an equidigital number, since it uses as much as digits as its factorization.

299999985333341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13774950720, while the sum is 86.

The spelling of 299999985333341 in words is "two hundred ninety-nine trillion, nine hundred ninety-nine billion, nine hundred eighty-five million, three hundred thirty-three thousand, three hundred forty-one".